Ncert solutions mathematics class 7 Solutions for Chapter 5 lines and angles

Find the complement of each of the following Angles:

Find the complement of each of the following Angles:

Find the complement of each of the following Angles:

Q1) Find the compliment of each of the following angles.

i)

ii)

iii)

Q2) Find the supplement of each of the following angles.

i)

ii)

iii)

Find the supplement of each of the following Angles:

Find the supplement of each of the following angles:

Find the supplement of each of the following Angles:

Identify which of the following pairs of Angles are Complementary and which are Supplementary.

63° , 27°

Q3) Identify which of the following pairs of angles are complementary and which are supplementary.

i) 65° , 115°

ii) 63° , 27°

iii) 112° , 68°

iv) 130° , 50°

v) 45° , 45°

vi) 80° , 10°

Identify which of the following pairs of Angles are Complementary and which are Supplementary.

80° , 10°

Identify which of the following pairs of Angles are Complementary and which are Supplementary.

130° , 50°

Identify which of the following pairs of Angles are Complementary and which are Supplementary.

112° , 68°

Identify which of the following pairs of Angles are Complementary and which are Supplementary.

45° , 45°

Identify which of the following pairs of Angles are Complementary and which are Supplementary.

65° , 115°

Q4) Find the angle which is equal to its complement.

Find the angles which is Equal to its Complement.

Find the angles which is Equal to its Supplement.

Q5) Find the angle which is equal to its supplement.

Q6) In the given figure, ∠1 and ∠2 are supplementary angles.

If ∠1 is decreased, what changes should take place

in ∠2 so that both the angles still remain supplementary.

In the given figure, ∠1 and ∠2 are supplementary angles. If ∠1 is decreased, what changes should take place in ∠2 so that both angles still remain Supplementary.

Can two angles be Supplementary if both of them are:

Obtuse?

Q7) Can two angles be supplementary if both of them are:

i) Acute?

ii) Obtuse?

iii) Right?

Can two angles be Supplementary if both of them are:

Right?

Can two angles be Supplementary if both of them are:

Acute?

An angle is greater than 45° . Is its Complementary angle greater than 45° or equal to 45° or less than 45° ?

Q8) An angle is greater than 45° . Is its complementary angle greater than 45° or equal to 45° or less than 45° ?

Q9) In the adjoining figure:

(i) Is ∠1 adjacent to ∠2?

(ii) Is ∠AOC adjacent to ∠AOE?

(iii) Do ∠COE and ∠EOD form a linear pair?

(iv) Are ∠BOD and ∠DOA supplementary?

(v) Is ∠1 vertically opposite to ∠4?

(vi) What is the vertically opposite angle of ∠5?

In the Adjoining Figure:

Is ∠1 vertically opposite to ∠4?

In the Adjoining Figure:

Is ∠AOC adjacent to ∠AOE ?

In the Adjoining Figure:

What is the vertically opposite angle of ∠5?

In the Adjoining Figure:

Do ∠COE and ∠EOD form a linear pair?

In the Adjoining Figure:

Is ∠1 adjacent to ∠2 ?

In the Adjoining Figure:

Are ∠BOD and ∠DOA Supplementary?

Indicate which Pairs of Angles are:

Vertically opposite angles.

Q10) Indicate which pairs of angles are:

(i) Vertically opposite angles.

(ii) Linear pairs.

Indicate which Pairs of Angles are:

Linear pairs.

In the following figure, is ∠1 adjacent to ∠2? Give reasons.

Q11) In the following figure, is ∠1 adjacent to ∠2? Give reasons.

Find the values of the angles x, y, and z in each of the following:

Q12) Find the values of the angles x, y, and z in each of the following:

i)

ii)

Find the values of the angles x, y, and z in each of the following:

Q13)

Fill in the blanks:

(i) If two angles are complementary, then the sum of their measures is _______.

(ii) If two angles are supplementary, then the sum of their measures is ______.

(iii) Two angles forming a linear pair are _______________.

(iv) If two adjacent angles are supplementary, they form a ___________.

(v) If two lines intersect at a point, then the vertically opposite angles are always

_.

(vi) If two lines intersect at a point, and if one pair of vertically opposite angles are

acute angles, then the other pair of vertically opposite angles are __________.

Fill in the Blanks:

Two angles forming a linear pair are _______________.

Fill in the Blanks:

If two lines intersect at a point, then the vertically opposite angles are always_.

Fill in the Blanks:

If two angles are Supplementary, then the sum of their measures is ______.

Fill in the Blanks:

If two angles are complementary, then the sum of their measures is _______.

Fill in the Blanks:

If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are __________.

Fill in the Blanks:

If two adjacent angles are supplementary, they form a ___________.

In the Adjoining Figure, name the following Pairs of Angles.

Adjacent angles that do not form a Linear Pair

In the Adjoining Figure, name the following Pairs of Angles.

Unequal supplementary angles

In the adjoining figure, name the following pairs of angles.

Obtuse vertically opposite angles

In the Adjoining Figure, name the following Pairs of Angles.

Adjacent complementary angles

Q14)

In the adjoining figure, name the following pairs of angles.

(i) Obtuse vertically opposite angles

(ii) Adjacent complementary angles

(iii) Equal supplementary angles

(iv) Unequal supplementary angles

(v) Adjacent angles that do not form a linear pair

In the Adjoining Figure, name the following Pairs of Angles.

Equal supplementary angles

State the property that is used in each of the following statements?

If ∠4 + ∠5 = 180o, then a ∥ b.

Q1) State the property that is used in each of the following statements?

(i) If a\ \Pi\ b, then \angle1=\angle5.

(ii) If

\angle4+\angle6, then a\ \Pi\ b.

(iii) If \angle4+\angle5=180\degree, then a\ \Pi\ b.

State the property that is used in each of the following statements?

If ∠4 = ∠6, then a ∥ b.

In the adjoining figure, Identify

The pairs of corresponding angles.

In the adjoining figure, Identify

The vertically opposite angles.

In the Adjoining Figure, Identify.

The pairs of Interior Angles on the same side of the Transversal.

In the Adjoining Figure, Identify.

The pairs of alternate interior angles.

Q2) In the adjoining figure, identify

(i) the pairs of corresponding angles.

(ii) the pairs of alternate interior angles.

(iii) the pairs of interior angles on the same side of the transversal.

(iv) the vertically opposite angles.

In the adjoining figure, p ∥ q. Find the unknown angles.

Q3) In the adjoining figure, p\ \Pi\ q. Find the unknown angles.

Find the value of x in each of the following figures if l ∥ m.

Q4) Find the value of x in each of the following figures if l\ \Pi\ m

(i)

(ii)

Find the value of x in each of the following figures if l ∥ m.

In the given figure, the arms of two angles are parallel.

If ∠ABC = 70° , then find

∠DGC

In the given figure, the arms of two angles are parallel.

If ∠ABC = 70° , then find

∠DEF

Q5) In the given figure, the arms of two angles are parallel.

If \angle ABC=70\degree, then find

(i) \angle DGC\

(ii) \angle DEF

In the given figures below, decide whether l is parallel to m.

Q6) In the given figures below, decide whether l is parallel to m.

(i)

(ii)

(iii)

(iv)

In the given figures below, decide whether l is parallel to m.

In the given figures below, decide whether l is parallel to m.

In the given figures below, decide whether l is parallel to m.